The vanishing

Historians will always be busy—not because the past changes,
but because the questions we ask of it change as conditions
in our own times change. For instance, when the Romanovs and the
Habsburgs ruled, we often asked questions about dynastic rivalries.
Now, with the scions of aforesaid families outranked by movie stars
and pollution poisoning our skies, we ask questions about past
environments.

Uncle Vernon sat back down, breathing like a winded rhinoceros and
watching Harry closely out of the corners of his small, sharp eyes.
Ever since Harry had come home for the summer holidays, Uncle
Vernon had been treating him like a bomb that might go off at any
moment, because Harry Potter wasn't a normal boy. As a matter of
fact, he was as not normal as it is possible to be.
Harry Potter was a wizard - a wizard fresh from his first year at
Hogwarts School of Witchcraft and Wizardry. And if the Dursleys
were unhappy to have him back for the holidays, it was nothing...

Mr. and Mrs. Dursley, of number four, Privet Drive, were proud to say
that they were perfectly normal, thank you very much. They were the last
people you'd expect to be involved in anything strange or mysterious,
because they just didn't hold with such nonsense.
Mr. Dursley was the director of a firm called Grunnings, which made
drills. He was a big, beefy man with hardly any neck, although he did
have a very large mustache. Mrs.

With the vast and ever increasing demands made upon materials which are the products of cultivated fields, for food, for apparel, for furnishings and for cordage, better soil management must grow more important as populations multiply.

This paper should be regarded as a sequel to [7]. There it was shown that the geometric Langlands conjecture for GLn follows from a certain vanishing conjecture. The goal of the present paper is to prove this vanishing conjecture. Let X be a smooth projective curve over a ground ﬁeld k. Let E be an m-dimensional local system on X, and let Bunm be the moduli stack of rank m vector bundles on X.

A full decade has passed since the publication of the first edition of The LATEX
Companion—a decade during which some people prophesied the demise of TEX
and LaTEX and predicted that other software would take over the world. There have
been a great many changes indeed, but neither prediction has come to pass: TEX
has not vanished and the interest in LaTEX has not declined, although the approach
to both has gradually changed over time.

“Lord help me—I love those eyes. They’re like a nice warm cup of Chicory Coffee, creamy brown, with just the right amount of sugar.” “Your daddy better not hear you talking like that,” he said with a roguish smirk. Royce pulled a pack of smokes from the shaft of h

Now, there were at least four wanderers moving through the village, and none of them his soon-to-be-deflowered betrothed. Ajen’s exasperation vanished when he saw a furtive shape slip between two buildings and skulk poorly towards the knoll. The dark cloak she wore flashed a glimpse of her bright-white bedclothes with every step as she neared the tree. His blood surge

International Expositions are independent kingdoms in their corporate
relation with other countries of the world. They are phantom kingdoms
wherein the people do everything but sleep. They germinate and grow with
phenomenal energy. Their existence is established without conquest and
their magic growth is similar to the mushroom and the moonflower; they
vanish like setting suns in their own radiance. Thousands of neophytes
of every race, creed and color come with willing hearts and hands to do
homage and bear manna to nourish the sinews of a phantom kingdom.
...

14 On Foraging Theory, Humans, and the Conservation of Diversity: A Prospectus
The Tertiary is over. The world of our remote ancestors has nearly vanished. No nostalgia can save it; no yearning can restore it. We have entered the geological era of Homo sapiens. Like it or not, we are the boss.

We prove a blow-up formula for cyclic homology which we use to show that inﬁnitesimal K-theory satisﬁes cdh-descent. Combining that result with some computations of the cdh-cohomology of the sheaf of regular functions, we verify a conjecture of Weibel predicting the vanishing of algebraic K-theory of a scheme in degrees less than minus the dimension of the scheme, for schemes essentially of ﬁnite type over a ﬁeld of characteristic zero. Introduction The negative algebraic K-theory of a singular variety is related to its geometry. ...

We study unitary random matrix ensembles of the form
−1 Zn,N | det M |2α e−N Tr V (M ) dM,
where α −1/2 and V is such that the limiting mean eigenvalue density for n, N → ∞ and n/N → 1 vanishes quadratically at the origin. In order to compute the double scaling limits of the eigenvalue correlation kernel near the origin, we use the Deift/Zhou steepest descent method applied to the Riemann-Hilbert problem for orthogonal polynomials on the real line with respect to the weight |x|2α e−N V (x) . ...

The divisibility properties of Dirichlet L-functions in inﬁnite families of characters have been studied by Iwasawa, Ferrero and Washington. The families considered by them are obtained by twisting an arbitrary Dirichlet character with all characters of p-power conductor for some prime p. One has to distinguish divisibility by p (the case considered by Iwasawa and FerreroWashington [FeW]) and by a prime = p (considered by Washington [W1], [W2]). Ferrero and Washington proved the vanishing of the Iwasawa µ-invariant of any branch of the Kubota-Leopoldt p-adic L-function. ...

We settle an old question about the existence of certain ‘sums-of-squares’ formulas over a ﬁeld F , related to the composition problem for quadratic forms. A classical theorem says that if such a formula exists over a ﬁeld of characteristic 0, then certain binomial coeﬃcients must vanish. We prove that this result also holds over ﬁelds of characteristic p

The Art of Public Speaking VICTOR HUGO HONORE DE BALZAC Delivered at the Funeral of Balzac, August 20, 1850. Gentlemen: The man who now goes down into this tomb is one of those to whom public grief pays homage. In one day all fictions have vanished. The eye is fixed not only on the heads that reign, but on heads that think, and the whole country is moved when one of those heads disappears. To−day we have a people in black because of the death of the man of talent; a nation in mourning for a man of genius. Gentlemen,...

There are times, however, when we are more interested in finding the function from which the integrand came (i.e., finding the antiderivative) than in finding the actual change. Then we must recognize that the derivative of a constant is zero, so any arbitrary constant added to the integral vanishes in finding the integrand. Thus we may write
∫ − nRT
dP nRT = +c 2 P P
(A34)
where c is an arbitrary, or unknown, constant. Such an expression is called an indefinite integral.
7/10/07
A- 131
...

Annals of Mathematics
We study the motion of an incompressible perfect liquid body in vacuum. This can be thought of as a model for the motion of the ocean or a star. The free surface moves with the velocity of the liquid and the pressure vanishes on the free surface. This leads to a free boundary problem for Euler’s equations, where the regularity of the boundary enters to highest order. We prove local existence in Sobolev spaces assuming a “physical condition”, related to the fact that the pressure of a ﬂuid has to be positive. ...